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Finding the Fourth Proportional to 73,853.20, 110,779.80 and 47,609.20

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Solution

The fourth proportional to 73,853.20, 110,779.80 and 47,609.20 is: 71,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,853.20 : 110,779.80 = 47,609.20 : x
  2. Step 2: Convert to fraction form
    73,853.20/110,779.80 = 47,609.20/x
  3. Step 3: Cross multiply
    73,853.20x = 110,779.80 × 47,609.20
  4. Step 4: Simplify right side
    73,853.20x = 5,274,137,654.16
  5. Step 5: Solve for x
    x = 5,274,137,654.16/73,853.20
  6. Step 6: Final answer
    x = 71,413.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.